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Finding the Third Proportional to 117,368 and 253,442

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Solution

The third proportional to 117,368 and 253,442 is: 547,277.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,368 : 253,442 = 253,442 : x
  2. Step 2: Convert to fraction form
    117,368/253,442 = 253,442/x
  3. Step 3: Cross multiply
    117,368x = 253,442 × 253,442
  4. Step 4: Simplify right side
    117,368x = 64,232,847,364
  5. Step 5: Solve for x
    x = 64,232,847,364/117,368
  6. Step 6: Final answer
    x = 547,277.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.